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Finding the Fourth Proportional to 8,459.40, 12,689.10 and 5,694.60

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Solution

The fourth proportional to 8,459.40, 12,689.10 and 5,694.60 is: 8,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.40 : 12,689.10 = 5,694.60 : x
  2. Step 2: Convert to fraction form
    8,459.40/12,689.10 = 5,694.60/x
  3. Step 3: Cross multiply
    8,459.40x = 12,689.10 × 5,694.60
  4. Step 4: Simplify right side
    8,459.40x = 72,259,348.86
  5. Step 5: Solve for x
    x = 72,259,348.86/8,459.40
  6. Step 6: Final answer
    x = 8,541.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.